102131232 has 144 divisors (see below), whose sum is σ = 324136512. Its totient is φ = 27578880.

The previous prime is 102131231. The next prime is 102131233. The reversal of 102131232 is 232131201.

It is an interprime number because it is at equal distance from previous prime (102131231) and next prime (102131233).

It is not an unprimeable number, because it can be changed into a prime (102131231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242382 + ... + 242802.

It is an arithmetic number, because the mean of its divisors is an integer number (2250948).

Almost surely, 2^102131232 is an apocalyptic number.

102131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162068256).

102131232 is an abundant number, since it is smaller than the sum of its proper divisors (222005280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102131232 is a wasteful number, since it uses less digits than its factorization.

102131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102131232 is about 10105.9998020978. Note that the first 3 decimals coincide. The cubic root of 102131232 is about 467.4331657344.

Adding to 102131232 its reverse (232131201), we get a palindrome (334262433).

The spelling of 102131232 in words is "one hundred two million, one hundred thirty-one thousand, two hundred thirty-two".